Question

the plot shows a negative linear relationship between the latitude of the state and melanoma mortality rate. based on the scatterplot and the value of the correlation coefficient, it would make sense to test the significance of this observed linear relationship between latitude and melanoma mortality rate. which of the following are the appropriate null and alternative hypotheses? a. h₀: melanoma mortality rate is related to latitude. hₐ: melanoma mortality rate is not related to latitude. b. h₀: melanoma mortality rate is not related to latitude. hₐ: melanoma mortality rate is related to latitude. c. h₀: melanoma mortality rate is linearly related to latitude. hₐ: melanoma mortality rate is not linearly related to latitude. d. h₀: melanoma mortality rate is not linearly related to latitude. hₐ: melanoma mortality rate is linearly related to latitude.

Explanation:

In hypothesis testing for a linear relationship, the null hypothesis ($H_0$) assumes no linear relationship. The alternative hypothesis ($H_a$) assumes there is a linear relationship.

Answer:

D. $H_0$: Melanoma mortality rate is not linearly related to latitude. $H_a$: Melanoma mortality rate is linearly related to latitude.